ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

The term independent of x is the expansion (x³+1/x)¹²

• 295 A
• 495 B
• 395 C
• 722 D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

3, 6, 12,.... is

• A.P A
• G.P. B
• H.P. C
• None of these D

Domain of 2 cos x is ______

• [-2, 2] A
• R B
• Negative real numbers C
• None of these D

The sum of an indicated number of terms in a sequence is called

• sequence A
• progression B
• Series C
• Mean D

The set of second elements of the ordered pairs forming a relation is called a

• Domain A
• range B
• function C
• relation D

• 
  A
• 
  B
• 
  C
• 
  D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

What is the period of 6 sin x=?

• π A
• -π B
• π/2 C
• 2π D

• 0 A
• 1 B
• 2 C
• 1/2 D

• 
  A
• 
  B
• 
  C
• 
  D

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

• x - y = -6 A
• x - y < -6 B
• x - y > -6 C
• None D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

Range of sec x is ______

• [-1, 1] A
• R B
• Negative real numbers C
• R = {x | -1 < x < 1} D

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

The set of the first elements of the orders pairs forming a relation is called its

• Relation in B A
• Range B
• Domain C
• Relation In A D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these D

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

• 12m A
• 21m B
• 17m C
• 15m D

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

• Constant function A
• Variable value B
• Function of upper limit C
• All D

The product of the four fourth roots of unity is

• 0 A
• 1 B
• -1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The value of 150^ο in term of π is

• 2π/5
  A
• 5π/2 B
• 3π/2 C
• 2550/32401π D

x³+ 2x²- 3x + 5 is ______

• An equation A
• A polynomial B
• Proper rational fractions C
• Improper rational fractions D

• 
  A
• 
  B
• 
  C
• 
  D

• sin h x A
• cos h x B
• tan h x C
• cot h x D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

The sum of first twenty odd integers in A.P is

• 400 A
• 397 B
• 404 C
• 408 D

Geometrically the modulus of a complex number represents its distance from the

• Point (1,0) A
• Point (0,1) B
• Point (1,1) C
• Point (0,0) D